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pretty awesome. i really feel like Geometric Algebra, specifically the concepts of wedge product and bivectors, could save everyone a lot of time if it was put
by doubloon 3y ago
pretty awesome.
i really feel like Geometric Algebra, specifically the concepts of wedge product and bivectors, could save everyone a lot of time if it was put into the curriculum. because people keep "rediscovering" it all the time and calling it different names. (here "determinant")
- nyrikki 3y agoThis! Gibbs/Heavysides style vectors are convenient because it works with our 3D intuition, but Grassman/Clifford style works better for the differential calculus of gradient decent, hyper planes of DBScan, computer graphics etc... Here is a programer friendly site that may be of help for those who are interested. The geometric product being the sum of the exterior and dot products also solves a lot of things you run into with vector and tensor analysis. https://bivector.net/ https://bivector.net/
- jiggawatts 3y agoI like to think of GA as strongly-typed matrix algebra. Instead of putting everything into one type (a matrix of numbers), it recognises and makes explicit physical concepts such as surfaces and volumes.